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On configuration space integrals for links
Christine Lescop
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Geometry & Topology Monographs 4
(2002) 183–199
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Abstract
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We give an introductory survey on the universal Vassiliev invariant called the
perturbative series expansion of the Chern–Simons theory of links in euclidean space,
and on its relation with the Kontsevich integral. We also prove an original geometric
property of the anomaly of Bott, Taubes, Altschuler, Freidel and D Thurston, that
allowed Poirier to prove that the Chern–Simons series and the Kontsevich integral
coincide up to degree 6.
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Keywords
Kontsevich Integral, Chern–Simons
theory, Vassiliev invariants, links, knots, tangles,
configuration spaces, quantum invariants, Jacobi diagrams
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Mathematical Subject Classification
Primary: 57M27
Secondary: 17B37, 57M25, 81T18
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Publication
Received: 19 December 2001
Revised: 15 February 2002
Accepted: 22 July 2002
Published: 21 September 2002
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